三参数地基上四边简支矩形薄板的弯曲问题
来源期刊：中南大学学报(自然科学版)1996年第3期
论文作者：王嘉新 罗雄辉
文章页码：363 - 366
关键词：最小二乘法; 三参数地基模型; 四边简支矩形薄板
Key words：least square method; three-parametric model of foundation; rectangular thin plate simply supported on four edges
摘 要：在Winkler地基模型和双参数地基模型基础上,提出一种三参数地基模型.以双向三角级数作为矩形板挠度的试函数,采用最小二乘法,获得了三参数地基上四边简支矩形薄板挠度的计算表示式,并给出算例.计算结果表明,K2值对板的最大挠度具有一定影响,这为进一步研究地基上板提供了综合力学模型
Abstract: In this paper,a three-parametric model of foundation based on the Winkler-model and double-parametric model of foundation is advanced.By selecting a repeat-trigonometrical series as the trial function of rectangular thin plate deflection and adopting least square method,the formula of calculating deflection is obtained. The results of numerical example are also given, expressting that the parameter of K2 has larger influence on the largest deflection of thin plate. So, a synthetic mechanic model is provided for the further study of palates.
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